






"""simple docstring"""


from math import pi, sqrt, tan


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if side_length < 0:
												raise ValueError('surface_area_cube() only accepts non-negative values' )
						return 6 * side_length**2


def        UpperCAmelCase      (					a__     ,      a__     ,      a__ ):





						'''simple docstring'''






						if length < 0 or breadth < 0 or height < 0:
												raise ValueError('surface_area_cuboid() only accepts non-negative values' )
						return 2 * ((length * breadth) + (breadth * height) + (length * height))


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if radius < 0:
												raise ValueError('surface_area_sphere() only accepts non-negative values' )
						return 4 * pi * radius**2


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if radius < 0:
												raise ValueError('surface_area_hemisphere() only accepts non-negative values' )
						return 3 * pi * radius**2


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if radius < 0 or height < 0:
												raise ValueError('surface_area_cone() only accepts non-negative values' )
						return pi * radius * (radius + (height**2 + radius**2) ** 0.5)


def        UpperCAmelCase      (					a__     ,      a__     ,      a__ ):





						'''simple docstring'''






						if radius_a < 0 or radius_a < 0 or height < 0:
												raise ValueError(
												    'surface_area_conical_frustum() only accepts non-negative values' )
						lowerCAmelCase   :Union[str, Any]						=			(height**2 + (radius_a - radius_a) ** 2) ** 0.5
						return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if radius < 0 or height < 0:
												raise ValueError('surface_area_cylinder() only accepts non-negative values' )
						return 2 * pi * radius * (height + radius)


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if torus_radius < 0 or tube_radius < 0:
												raise ValueError('surface_area_torus() only accepts non-negative values' )
						if torus_radius < tube_radius:
												raise ValueError(
												    'surface_area_torus() does not support spindle or self intersecting tori' )
						return 4 * pow(a__     ,      2 ) * torus_radius * tube_radius


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if length < 0 or width < 0:
												raise ValueError('area_rectangle() only accepts non-negative values' )
						return length * width


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if side_length < 0:
												raise ValueError('area_square() only accepts non-negative values' )
						return side_length**2


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if base < 0 or height < 0:
												raise ValueError('area_triangle() only accepts non-negative values' )
						return (base * height) / 2


def        UpperCAmelCase      (					a__     ,      a__     ,      a__ ):





						'''simple docstring'''






						if sidea < 0 or sidea < 0 or sidea < 0:
												raise ValueError('area_triangle_three_sides() only accepts non-negative values' )
						elif sidea + sidea < sidea or sidea + sidea < sidea or sidea + sidea < sidea:
												raise ValueError('Given three sides do not form a triangle' )
						lowerCAmelCase   :Optional[Any]						=			(sidea + sidea + sidea) / 2
						lowerCAmelCase   :Optional[int]						=			sqrt(
						    semi_perimeter
						    * (semi_perimeter - sidea)
						    * (semi_perimeter - sidea)
						    * (semi_perimeter - sidea) )
						return area


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if base < 0 or height < 0:
												raise ValueError('area_parallelogram() only accepts non-negative values' )
						return base * height


def        UpperCAmelCase      (					a__     ,      a__     ,      a__ ):





						'''simple docstring'''






						if basea < 0 or basea < 0 or height < 0:
												raise ValueError('area_trapezium() only accepts non-negative values' )
						return 1 / 2 * (basea + basea) * height


def        UpperCAmelCase      (					a__ ):





						'''simple docstring'''






						if radius < 0:
												raise ValueError('area_circle() only accepts non-negative values' )
						return pi * radius**2


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if radius_x < 0 or radius_y < 0:
												raise ValueError('area_ellipse() only accepts non-negative values' )
						return pi * radius_x * radius_y


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if diagonal_a < 0 or diagonal_a < 0:
												raise ValueError('area_rhombus() only accepts non-negative values' )
						return 1 / 2 * diagonal_a * diagonal_a


def        UpperCAmelCase      (					a__     ,      a__ ):





						'''simple docstring'''






						if not isinstance(a__     ,      a__ ) or sides < 3:
												raise ValueError(
												    'area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides' )
						elif length < 0:
												raise ValueError(
												    'area_reg_polygon() only accepts non-negative values as \
length of a side' )
						return (sides * length**2) / (4 * tan(pi / sides ))
						return (sides * length**2) / (4 * tan(pi / sides ))


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)  # verbose so we can see methods missing tests

		print('[DEMO] Areas of various geometric shapes: \n')
		print(F"""Rectangle: {area_rectangle(10, 20) = }""")
		print(F"""Square: {area_square(10) = }""")
		print(F"""Triangle: {area_triangle(10, 10) = }""")
		print(F"""Triangle: {area_triangle_three_sides(5, 12, 13) = }""")
		print(F"""Parallelogram: {area_parallelogram(10, 20) = }""")
		print(F"""Rhombus: {area_rhombus(10, 20) = }""")
		print(F"""Trapezium: {area_trapezium(10, 20, 30) = }""")
		print(F"""Circle: {area_circle(20) = }""")
		print(F"""Ellipse: {area_ellipse(10, 20) = }""")
		print('\nSurface Areas of various geometric shapes: \n')
		print(F"""Cube: {surface_area_cube(20) = }""")
		print(F"""Cuboid: {surface_area_cuboid(10, 20, 30) = }""")
		print(F"""Sphere: {surface_area_sphere(20) = }""")
		print(F"""Hemisphere: {surface_area_hemisphere(20) = }""")
		print(F"""Cone: {surface_area_cone(10, 20) = }""")
		print(F"""Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }""")
		print(F"""Cylinder: {surface_area_cylinder(10, 20) = }""")
		print(F"""Torus: {surface_area_torus(20, 10) = }""")
		print(F"""Equilateral Triangle: {area_reg_polygon(3, 10) = }""")
		print(F"""Square: {area_reg_polygon(4, 10) = }""")
		print(F"""Reqular Pentagon: {area_reg_polygon(5, 10) = }""")







"""simple docstring"""


# limitations under the License.


from typing import Optional, Tuple, Union

import torch

from diffusers import DiffusionPipeline, ImagePipelineOutput




class 						__UpperCamelCase     (     UpperCamelCase						):
					def __init__(							self							:	str     , UpperCAmelCase							:	Union[str, Any]     , UpperCAmelCase							:	str   )	->       Any:
											super().__init__()
											self.register_modules(unet=UpperCAmelCase     , scheduler=UpperCAmelCase   )
					@torch.no_grad()
					def __call__(							self							:	int     , UpperCAmelCase							:	int = 1     , UpperCAmelCase							:	Optional[torch.Generator] = None     , UpperCAmelCase							:	int = 50     , UpperCAmelCase							:	Optional[str] = "pil"     , UpperCAmelCase							:	bool = True     , **UpperCAmelCase							:	Dict     , )	->       Union[ImagePipelineOutput, Tuple]:
											lowerCAmelCase   :Optional[Any]						=			torch.randn(
											    (batch_size, self.unet.config.in_channels, self.unet.config.sample_size, self.unet.config.sample_size)     , generator=UpperCAmelCase     , )
											lowerCAmelCase   :str						=			image.to(self.device   )

											# set step values
											self.scheduler.set_timesteps(UpperCAmelCase   )

											for t in self.progress_bar(self.scheduler.timesteps   ):
																	# 1. predict noise model_output
																	lowerCAmelCase   :Dict						=			self.unet(UpperCAmelCase     , UpperCAmelCase   ).sample

																	# 2. predict previous mean of image x_t-1 and add variance depending on eta
																	# eta corresponds to η in paper and should be between [0, 1]
																	# do x_t -> x_t-1
																	lowerCAmelCase   :List[str]						=			self.scheduler.step(UpperCAmelCase     , UpperCAmelCase     , UpperCAmelCase   ).prev_sample

											lowerCAmelCase   :Any						=			(image / 2 + 0.5).clamp(0     , 1   )
											lowerCAmelCase   :Tuple						=			image.cpu().permute(0     , 2     , 3     , 1   ).numpy()
											if output_type == "pil":
																	lowerCAmelCase   :Dict						=			self.numpy_to_pil(UpperCAmelCase   )

											if not return_dict:
																	return (image,), "This is a local test"

											return ImagePipelineOutput(images=UpperCAmelCase   ), "This is a local test"